F1 is the external force required to produce an acceleration of 5ms-² in an object of mass 2kg and F2 is the force required to produce an acceleration of 2ms-² in an object of mass 4kg. Compare F1 and F2.
•Answer the question correctly.
•Step by step method needed.
•Answer the question correctly.
•Step by step method needed.
Answers & Comments
Answer:
To compare the forces F1 and F2, we can use Newton's second law of motion, which states that force (F) is equal to the mass (m) of an object multiplied by its acceleration (a). Mathematically, it can be expressed as:
F = m * a
Let's calculate F1 and F2 step by step:
For F1:
1. Mass (m1) = 2 kg
2. Acceleration (a1) = 5 m/s²
F1 = m1 * a1
F1 = 2 kg * 5 m/s²
F1 = 10 N
So, F1 is 10 Newtons.
For F2:
1. Mass (m2) = 4 kg
2. Acceleration (a2) = 2 m/s²
F2 = m2 * a2
F2 = 4 kg * 2 m/s²
F2 = 8 N
So, F2 is 8 Newtons.
Comparing F1 and F2:
F1 = 10 N
F2 = 8 N
Since F1 is greater than F2, you can say that the force required to produce an acceleration of 5 m/s² in an object with a mass of 2 kg (F1) is greater than the force required to produce an acceleration of 2 m/s² in an object with a mass of 4 kg (F2).
Verified answer
Explanation:
Given,
m
1
=2kg
a
1
=2.5m/s
2
m
2
=5kg
a
2
=2m/s
2
Ratio,
F
1
F
2
=
m
1
a
1
m
2
a
2
F
1
F
2
=
2×2.5
5×2
=2
The correct option is A.